paper

Maximal hypersurfaces in asymptotically Anti-de Sitter spacetime

arXiv:2208.09893

Abstract

We prove uniqueness, existence, and regularity results for maximal hypersurfaces in spacetimes with a conformal completion at timelike infinity and asymptotically constant scalar curvature, as relevant for asymptotically AdS spacetimes. This work is dedicated to Yvonne Choquet-Bruhat on the occasion of her upcoming 99th birthday.

29 pages, 3 figures